Matches in SemOpenAlex for { <https://semopenalex.org/work/W327962130> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W327962130 abstract "Abstract : Least squares problems arise when one attempts to fit a model y = n(x,beta) to points (y1,x1),...,(yn,xn). Solutions to such problems are obtained by optimizing the sum of squared deviations over an admissible region. This paper discusses the basic theory of optimization for a general objective function and applies this material to both the linear and nonlinear least squares problems. In linear least squares normal equations for both the full rank and less than full rank cases are considered and the Kuhn-Tucker conditions are used to obtain the normal equations under linear inequality constraints. In nonlinear least squares, different iterative procedures, which may be used to obtain a solution, are discussed. The methods considered are steepest descent, Newton-Raphson, Gauss-Newton, Hartley's modified Gauss-Newton, and that of Marquardt. Results are obtained which relate Marquardt's method to equality constrained least squares. (Author)" @default.
- W327962130 created "2016-06-24" @default.
- W327962130 creator A5036515611 @default.
- W327962130 date "1977-06-16" @default.
- W327962130 modified "2023-09-27" @default.
- W327962130 title "Least Squares Viewed as a General Optimization Problem." @default.
- W327962130 hasPublicationYear "1977" @default.
- W327962130 type Work @default.
- W327962130 sameAs 327962130 @default.
- W327962130 citedByCount "0" @default.
- W327962130 crossrefType "journal-article" @default.
- W327962130 hasAuthorship W327962130A5036515611 @default.
- W327962130 hasConcept C105795698 @default.
- W327962130 hasConcept C114614502 @default.
- W327962130 hasConcept C119857082 @default.
- W327962130 hasConcept C121332964 @default.
- W327962130 hasConcept C126090379 @default.
- W327962130 hasConcept C126255220 @default.
- W327962130 hasConcept C153258448 @default.
- W327962130 hasConcept C158622935 @default.
- W327962130 hasConcept C163175372 @default.
- W327962130 hasConcept C164226766 @default.
- W327962130 hasConcept C169241690 @default.
- W327962130 hasConcept C185429906 @default.
- W327962130 hasConcept C188649462 @default.
- W327962130 hasConcept C28826006 @default.
- W327962130 hasConcept C33923547 @default.
- W327962130 hasConcept C41008148 @default.
- W327962130 hasConcept C45923927 @default.
- W327962130 hasConcept C49392186 @default.
- W327962130 hasConcept C49847556 @default.
- W327962130 hasConcept C50644808 @default.
- W327962130 hasConcept C58663186 @default.
- W327962130 hasConcept C62520636 @default.
- W327962130 hasConcept C83546350 @default.
- W327962130 hasConcept C85189116 @default.
- W327962130 hasConcept C87578567 @default.
- W327962130 hasConcept C9936470 @default.
- W327962130 hasConceptScore W327962130C105795698 @default.
- W327962130 hasConceptScore W327962130C114614502 @default.
- W327962130 hasConceptScore W327962130C119857082 @default.
- W327962130 hasConceptScore W327962130C121332964 @default.
- W327962130 hasConceptScore W327962130C126090379 @default.
- W327962130 hasConceptScore W327962130C126255220 @default.
- W327962130 hasConceptScore W327962130C153258448 @default.
- W327962130 hasConceptScore W327962130C158622935 @default.
- W327962130 hasConceptScore W327962130C163175372 @default.
- W327962130 hasConceptScore W327962130C164226766 @default.
- W327962130 hasConceptScore W327962130C169241690 @default.
- W327962130 hasConceptScore W327962130C185429906 @default.
- W327962130 hasConceptScore W327962130C188649462 @default.
- W327962130 hasConceptScore W327962130C28826006 @default.
- W327962130 hasConceptScore W327962130C33923547 @default.
- W327962130 hasConceptScore W327962130C41008148 @default.
- W327962130 hasConceptScore W327962130C45923927 @default.
- W327962130 hasConceptScore W327962130C49392186 @default.
- W327962130 hasConceptScore W327962130C49847556 @default.
- W327962130 hasConceptScore W327962130C50644808 @default.
- W327962130 hasConceptScore W327962130C58663186 @default.
- W327962130 hasConceptScore W327962130C62520636 @default.
- W327962130 hasConceptScore W327962130C83546350 @default.
- W327962130 hasConceptScore W327962130C85189116 @default.
- W327962130 hasConceptScore W327962130C87578567 @default.
- W327962130 hasConceptScore W327962130C9936470 @default.
- W327962130 hasLocation W3279621301 @default.
- W327962130 hasOpenAccess W327962130 @default.
- W327962130 hasPrimaryLocation W3279621301 @default.
- W327962130 hasRelatedWork W1978787029 @default.
- W327962130 hasRelatedWork W1990871723 @default.
- W327962130 hasRelatedWork W1997184590 @default.
- W327962130 hasRelatedWork W1998741578 @default.
- W327962130 hasRelatedWork W1999891916 @default.
- W327962130 hasRelatedWork W2003056920 @default.
- W327962130 hasRelatedWork W2012498427 @default.
- W327962130 hasRelatedWork W2064583534 @default.
- W327962130 hasRelatedWork W2066417416 @default.
- W327962130 hasRelatedWork W2082821409 @default.
- W327962130 hasRelatedWork W2123890247 @default.
- W327962130 hasRelatedWork W2169457105 @default.
- W327962130 hasRelatedWork W2497431106 @default.
- W327962130 hasRelatedWork W2552332016 @default.
- W327962130 hasRelatedWork W2977713834 @default.
- W327962130 hasRelatedWork W3029320404 @default.
- W327962130 hasRelatedWork W3125280515 @default.
- W327962130 hasRelatedWork W3172391540 @default.
- W327962130 hasRelatedWork W900834494 @default.
- W327962130 hasRelatedWork W1577277867 @default.
- W327962130 isParatext "false" @default.
- W327962130 isRetracted "false" @default.
- W327962130 magId "327962130" @default.
- W327962130 workType "article" @default.